106290240 has 112 divisors (see below), whose sum is σ = 385706112. Its totient is φ = 24293376.

The previous prime is 106290229. The next prime is 106290251. The reversal of 106290240 is 42092601.

It is an interprime number because it is at equal distance from previous prime (106290229) and next prime (106290251).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106290240² = 22595230238515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106290240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189 + ... + 14628.

Almost surely, 2^106290240 is an apocalyptic number.

106290240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192853056).

106290240 is an abundant number, since it is smaller than the sum of its proper divisors (279415872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106290240 is a wasteful number, since it uses less digits than its factorization.

106290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15844 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106290240 is about 10309.7158059764. The cubic root of 106290240 is about 473.6939041031.

The spelling of 106290240 in words is "one hundred six million, two hundred ninety thousand, two hundred forty".